Quantum Mechanics and Determinism
Gerard 't Hooft (Utrecht)
TL;DR
This paper demonstrates a method to map quantum states of free scalar particles and Maxwell fields onto a deterministic classical field theory with a large gauge group, maintaining Lorentz invariance.
Contribution
It introduces a novel mapping of quantum states to a deterministic classical model, extending to Maxwell fields and ensuring Lorentz invariance.
Findings
Quantum states of free particles can be mapped onto deterministic models.
The mapping applies to Maxwell fields.
Lorentz invariance is preserved in the classical model.
Abstract
It is shown how to map the quantum states of a system of free scalar particles one-to-one onto the states of a completely deterministic model. It is a classical field theory with a large (global) gauge group. The mapping is now also applied to free Maxwell fields. Lorentz invariance is demonstrated.
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Taxonomy
TopicsQuantum Mechanics and Applications · Relativity and Gravitational Theory · Noncommutative and Quantum Gravity Theories